Representative Jim Jordan, a leading member of the U.S. House’s conservative caucus, said changes to President Barack Obama’s health-care law must be part of any budget deal to end the government shutdown.

A House Democratic leader said a U.S. deficit-cutting agreement can’t include the extension of Bush-era tax cuts, while an influential Republican said his House colleagues won’t back a deal calling for new tax revenue.

Representative Jim Jordan of Ohio, head of the fiscally conservative Republican Study Committee, said in an interview with Bloomberg Television’s “Political Capital with Al Hunt,” airing this weekend, that any U.S. debt- cutting proposal that includes a tax increase would be unlikely to gain a majority of the House’s Republicans.

Representative Peter King, a New York Republican who opposed the partial U.S. government shutdown from the start, said in an interview on Bloomberg Television’s “Political Capital with Al Hunt,” airing this weekend, that House Republicans aligned with the Tea Party have lost their fight with the president, and that Congress soon will open the government and raise the debt ceiling.